Pokemon Box moves don't count here, as stated on the FAQ. However, the AC/CC TM list says Pikachus can have Surf as a bred-on move, and since Pikachus are born as Pichus, then that means Pichus can too.
Thanks to everyone for adopting all those pokemon. Train them well!
And SneaselReborned, you can still have your Pidgeotto. Welcome back!